86320416 has 192 divisors, whose sum is σ = 286868736. Its totient is φ = 22118400.

The previous prime is 86320387. The next prime is 86320427. The reversal of 86320416 is 61402368.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358056 + ... + 358296.

It is an arithmetic number, because the mean of its divisors is an integer number (1494108).

Almost surely, 2^86320416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

86320416 is an abundant number, since it is smaller than the sum of its proper divisors (200548320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86320416 is a wasteful number, since it uses less digits than its factorization.

86320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86320416 is about 9290.8781070467. The cubic root of 86320416 is about 441.9480020456.

It can be divided in two parts, 86320 and 416, that added together give a triangular number (86736 = T₄₁₆).

The spelling of 86320416 in words is "eighty-six million, three hundred twenty thousand, four hundred sixteen".